The asymptotic distribution of Kloosterman sums
S. J. Patterson (1997)
Acta Arithmetica
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S. J. Patterson (1997)
Acta Arithmetica
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Saharon Shelah, Oren Kolman (1996)
Fundamenta Mathematicae
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We assume a theory T in the logic is categorical in a cardinal λ κ, and κ is a measurable cardinal. We prove that the class of models of T of cardinality < λ (but ≥ |T|+κ) has the amalgamation property; this is a step toward understanding the character of such classes of models.
Todd Cochrane, Zhiyong Zheng (2000)
Acta Arithmetica
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Andrzej Szymczak (1995)
Fundamenta Mathematicae
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Andrzej Rosłanowski, Saharon Shelah (1998)
Fundamenta Mathematicae
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We deal with some problems posed by Monk [Mo 1], [Mo 3] and related to cardinal invariants of ultraproducts of Boolean algebras. We also introduce and investigate several new cardinal invariants.
E. V. Flynn (1994)
Acta Arithmetica
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Jonathan Pila, Fernando Rodriguez Villegas (1999)
Acta Arithmetica
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A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.